K13n2995

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Polynomial invariants

Jones polynomial Data:K13n2995/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-2 t^3+2 t^2-3 t+5-3 t^{-1} +2 t^{-2} -2 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n2995/Conway Polynomial
Determinant 21
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+7 a^2 z^6-5 a^4 z^4+16 a^2 z^4-z^4 a^{-2} -7 a^4 z^2+13 a^2 z^2-3 z^2 a^{-2} -2 a^4+3 a^2- a^{-2} +1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+3 a^2 z^{10}+z^{10}+2 a^5 z^9-5 a^3 z^9-7 a z^9+2 a^6 z^8-11 a^4 z^8-22 a^2 z^8+z^8 a^{-2} -8 z^8+a^7 z^7-9 a^5 z^7+5 a^3 z^7+14 a z^7+z^7 a^{-3} -10 a^6 z^6+18 a^4 z^6+54 a^2 z^6-7 z^6 a^{-2} +19 z^6-5 a^7 z^5+7 a^5 z^5+2 a^3 z^5-7 a z^5-3 z^5 a^{-1} -6 z^5 a^{-3} +12 a^6 z^4-16 a^4 z^4-57 a^2 z^4+13 z^4 a^{-2} -16 z^4+6 a^7 z^3+2 a^5 z^3-6 a^3 z^3-5 a z^3+6 z^3 a^{-1} +9 z^3 a^{-3} -4 a^6 z^2+10 a^4 z^2+23 a^2 z^2-7 z^2 a^{-2} +2 z^2-2 a^7 z-a^5 z+3 a^3 z+2 a z-2 z a^{-1} -2 z a^{-3} -2 a^4-3 a^2+ a^{-2} +1 }[/math]



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